GCD of 667, 213, 66, 120 Calculator

Given Input numbers are 667, 213, 66, 120

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 667, 213, 66, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 213, 66, 120 is 1.

Therefore, GCD of numbers 667, 213, 66, 120 is 1

Given Input Data is 667, 213, 66, 120

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 667 is 23 x 29

Prime Factorization of 213 is 3 x 71

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(667, 213) = 142071

GCD(667, 213) = ( 667 x 213 ) / 142071

GCD(667, 213) = 142071 / 142071

GCD(667, 213) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 667, 213, 66, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 793, 56, 528
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• GCD of 321, 232, 18, 883
• GCD of 412, 187, 74, 276
• GCD of 343, 234, 58, 876

1. What is the GCD of 667, 213, 66, 120?

GCD of 667, 213, 66, 120 is 1

2. Where do I get the detailed procedure to find GCD of 667, 213, 66, 120?

You can find a detailed procedure to find GCD of 667, 213, 66, 120 on our page.

3. How to find GCD of 667, 213, 66, 120 on a calculator?

You can find the GCD of 667, 213, 66, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.